Finding the Fourth Proportional to 2,561.33, 3,533.92 and 1,442.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.33 : 3,533.92 = 1,442.20 : x
2. Step 2: Convert to fraction form
   2,561.33/3,533.92 = 1,442.20/x
3. Step 3: Cross multiply
   2,561.33x = 3,533.92 × 1,442.20
4. Step 4: Simplify right side
   2,561.33x = 5,096,619.42
5. Step 5: Solve for x
   x = 5,096,619.42/2,561.33
6. Step 6: Final answer
   x = 1,989.83